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Finding the Third Proportional to 11,036.44 and 23,905.97

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Solution

The third proportional to 11,036.44 and 23,905.97 is: 51,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,036.44 : 23,905.97 = 23,905.97 : x
  2. Step 2: Convert to fraction form
    11,036.44/23,905.97 = 23,905.97/x
  3. Step 3: Cross multiply
    11,036.44x = 23,905.97 × 23,905.97
  4. Step 4: Simplify right side
    11,036.44x = 571,495,341.88
  5. Step 5: Solve for x
    x = 571,495,341.88/11,036.44
  6. Step 6: Final answer
    x = 51,782.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.